A cricketer averages 32 runs over 10 innings. How many runs must he score in the next innings to raise his average by 4?
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Answer: D. 76
Explanation
Multiplying the initial ten innings by the average of thirty-two gives a total of three hundred twenty runs scored so far. To achieve a new average of thirty-six across eleven total innings, the batsman must accumulate a new total of three hundred ninety-six runs. Subtracting the previous total runs from the new target total requires scoring seventy-six runs in the eleventh inning. Batting average is calculated as the total number of runs scored divided by the total number of innings played. To raise an existing average, a player must score significantly more runs in the next inning than their previous average. Total cumulative runs equal the number of innings multiplied by the average score per inning.
Option A represents an impossibly low score that would drastically drop the player's overall average. Option B equals the exact increase in average rather than the total runs needed in the specific inning. Option C falls short of the required runs needed to elevate the average across the entire eleven-inning span.
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- Mathematics
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- Mathematics
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